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multiples of numbers from 6 to 10


Multiples of number 6 is given in below table
6
12
18
24
30
36
42
48
54
60
66
72
78
84
90
96
102
108
114
120


Multiples of number 7 is given in below table 
7
14
21
28
35
42
49
56
63
70
77
84
91
98
105
112
119
126
133
140

Multiples of number 8 is given in below table
8
16
24
32
40
48
56
64
72
80
88
96
104
112
120
128
136
144
152
160

Multiples of number 9 is given in below table
9
18
27
36
45
54
63
72
81
90
99
108
117
126
135
144
153
162
171
180

Multiples of number 10 is given in below table
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200


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pythagoras triangle numbers from difference between two adjacent numbers

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Average of first n even numbers

Even numbers are 2,4,6,8,10,…. Average = sum of elements/ no of elments Now we will see the sum of elements: Sum of first 2 even numbers: 2+4= 6= 2(2+1) Sum of first 3 even numbers: 2+4+6= 12= 3(3+1) Sum of first 4 even  numbers: 2+4+6+8=20= 4(4+1) Sum of first 5 even numbers: 2+4+6+8+10 = 30 = 5(5+1) Sum of first n even numbers: 2+4+6+8+10+. . . . .  n numbers= n(n+1) Now we will see average: Average of first 2 even numbers= (2+4)/2                                                           = 6/2                              ...

product two consecutive odd numbers

Product of two consecutive odd numbers : Even numbers are 1,3,5,7,9,11,13,15,17,19,21,23,25,..... Odd  number means when we divide a number with 2,then the remainder is equal to one. Difference between the two odd numbers is 1. Now we will discuss the product of two odd  numbers. Now the product of two even numbers assumed to be 5x7 can be written as (6-1)x(6+1).                              5x7= (6-1)x(6+1) From the above we write general formula as 5x7= (6-1)x(6+1)=6 2 -1 2  =36-1=35 Now we can observe the result as one less than the square number. So now we can observe the following table. Column 1&2 reprecent the adjacent odd numbers. Column 3 represent the product of two adjacent odd numbers. Column 4 represent  the nearest square number. This  will arrive by adding 1 to the product  of two odd ...